I rather dislike the words “coding” and “gamer”.
Calling yourself a ‘gamer’ is like proclaiming you're a ‘fan of music’, and if you're ‘gaming’ rather than ‘playing computer games’ you're probably giving a little too much merit to a not-uncommon hobby. Contrast with pro gamer, where ‘gaming’ actually produces an income and provides entertainment for observers.
Also, the act of ‘coding’ as opposed to programming makes it sound like you're bashing away at your keyboard and coincidentally producing text that resembles a computer program, rather than thinking about what you are doing and then programming the computer to solve a problem. It kind of implies you're not actually planning on running the program at the end, you're just producing code. In a professional setting, the distinction becomes that a code monkey codes and a software developer programs - one is a distinctly more cerebral and respectable career; the other is a job right at the bottom of the chain.